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Using Tangent Lines to Approximate Function Values Examples

Example 1

Estimate sin(3) using a tangent line approximation at π.

Example 2

Use a tangent line approximation to estimate (0.9)3.

Example 3

Use a local linearization to estimate f(0.8) if .

Example 4

Use a tangent line approximation to estimate f(-1.2) where f(x) = 1 – x2.

Example 5

Use a linear approximation to estimate f(0.035) for f(x) = 2x3.